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deff fn [24]
2 years ago
11

Which expressions represent the product of a variable and a coefficient? Choose 3 answers: Choose 3 answers: (Choice A) A 11c11c

11, c (Choice B) B \dfrac{1}{2}t 2 1 ​ tstart fraction, 1, divided by, 2, end fraction, t (Choice C) C 5\cdot 105⋅105, dot, 10 (Choice D) D j\cdot 4j⋅4j, dot, 4
Mathematics
1 answer:
Marizza181 [45]2 years ago
6 0

Question:

Which expression represents the product of a variable and coefficient?

Choose 3 answers

(A) 11c

(B) 1/2 t

(C) 5•10

(D) j•4

Answer:

(A) 11c

(B) 1/2 t  

(D) j•4

Step-by-step explanation:

Required

Expression for variable and coefficient product

In algebra:

A coefficient can be anything (number of alphabets). However, a variable is always represented with an alphabet

Having said that:

Analyze each of the options

(A) 11c

Here, we have:

Variable = c

Coefficient = 11

(B) 1/2 t

Here, we have:

Variable = t

Coefficient = 1/2

(C) 5•10

Here, 5 and 10 are not variables

(D) j•4

Here, we have:

Variable = j

Coefficient = 4

<em>So, the correct options are: (A), (B) and (D)</em>

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550 tickets were sold for a game for a total of $712.50. If adult tickets sold for $1.50 and children's tickets sold for $1.00,
EastWind [94]

9514 1404 393

Answer:

  • adult: 325
  • children's: 225

Step-by-step explanation:

It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...

  1.50a +1.00(550 -a) = 712.50

  0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms

  a = 325

  c = 550 -325 = 225

325 adult and 225 children's tickets were sold.

4 0
3 years ago
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f
pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas  = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁)  = 0.999869

P(A/E₁) = 3%  = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}

=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}

\frac{0.2999607}{0.00000393+0.2999607}

\frac{0.2999607}{0.29996463}

= 0.999986898 ≈ 0.999987

6 0
3 years ago
a rectangle has a length of (x+3) centimeters and a width of 1/2x centimeters. If the perimeter is 24 centimeters, what is the l
bogdanovich [222]

Answer:

The length of the rectangle is 9 cm

Step-by-step explanation:

Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = \frac{1}{2} x cm a

Also, perimeter of rectangle is 24 cm.

Perimeter of rectangle is to add the lengths of all the four sides.

Perimeter of rectangle (P) is given by;

P=2(l+w)

Substituting the value of P = 24 cm , l = (x+3) cm and w =\frac{1}{2} x

then,  

24 = 2 (x+3+\frac{1}{2} x)

Divide by 2 both sides of an equation;

12 = x+3+\frac{1}{2}x

Combine like terms;

12 =\frac{3x}{2} +3

Subtract 3 from both the sides we get;

12-3 = \frac{3x}{2} +3-3

Simplify:

9 =\frac{3x}{2}

Multiply both sides by \frac{2}{3} we get

x = 9 \times \frac{2}{3} = 3 \times 2 = 6

Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm

6 0
3 years ago
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drek231 [11]

Answer:

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Step-by-step explanation:

Theres really no explanation to this other than learning your mathematical terms.

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horsena [70]
X=-1
-1x2 + 5x-1 +7 = 0
-7+7 =0
0=0
6 0
3 years ago
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